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<div class="title">Gps_traits_adaptor.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// Copyright (c) 2005  Tel-Aviv University (Israel).</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// All rights reserved.</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// This file is part of CGAL (www.cgal.org).</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// You can redistribute it and/or modify it under the terms of the GNU</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// General Public License as published by the Free Software Foundation,</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// either version 3 of the License, or (at your option) any later version.</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">// Licensees holding a valid commercial license may use this file in</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">// accordance with the commercial license agreement provided with the software.</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">// $URL$</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">// $Id$</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">// SPDX-License-Identifier: GPL-3.0+</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">// Author(s): Baruch Zukerman &lt;baruchzu@post.tau.ac.il&gt;</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">//            Efi Fogel       &lt;efifogel@gmail.com&gt;</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#ifndef CGAL_GPS_TRAITS_ADAPTOR_H</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#define CGAL_GPS_TRAITS_ADAPTOR_H</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;CGAL/license/Boolean_set_operations_2.h&gt;</span></div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;CGAL/disable_warnings.h&gt;</span></div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;CGAL/assertions.h&gt;</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;CGAL/enum.h&gt;</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div><div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="namespace_c_g_a_l.html">   32</a></span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_c_g_a_l.html">CGAL</a> {</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">typename</span> Traits_&gt;</div><div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">   35</a></span>&#160;<span class="keyword">class </span><a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Gps_traits_adaptor</a> : <span class="keyword">public</span> Traits_ {</div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">typedef</span> Traits_ Base;</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">typedef</span> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Gps_traits_adaptor&lt;Base&gt;</a> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Self</a>;</div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;   <span class="keyword">public</span>:</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::X_monotone_curve_2 X_monotone_curve_2;</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Point_2 Point_2;</div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Compare_xy_2 Compare_xy_2;</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Compare_y_at_x_right_2 Compare_y_at_x_right_2;</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Compare_endpoints_xy_2 Compare_endpoints_xy_2;</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Construct_min_vertex_2 Construct_min_vertex_2;</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Construct_max_vertex_2 Construct_max_vertex_2;</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div><div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor.html#a85a737a0ea42b18c1e7436000922d394">   49</a></span>&#160;    <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html#a85a737a0ea42b18c1e7436000922d394">Gps_traits_adaptor</a>() : Base() {}</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div><div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor.html#a545dbb2f232dcc9c77f0d7a44545fc5e">   52</a></span>&#160;    <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html#a545dbb2f232dcc9c77f0d7a44545fc5e">Gps_traits_adaptor</a>(<span class="keyword">const</span> Base&amp; traits) : Base(traits) {}</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div><div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html">   54</a></span>&#160;    <span class="keyword">class </span><a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html">Construct_vertex_2</a> {</div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;       <span class="keyword">protected</span>:</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keyword">typedef</span> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Gps_traits_adaptor&lt;Base&gt;</a> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Traits_adaptor</a>;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div><div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html#a4327f99990af235a15d4b36794b0acf8">   59</a></span>&#160;        <span class="keyword">const</span> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Traits_adaptor</a>&amp; <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html#a4327f99990af235a15d4b36794b0acf8">m_traits</a>;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div><div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html#ade4df041a1e859d7c17c0ba660bdead6">   64</a></span>&#160;        <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html#ade4df041a1e859d7c17c0ba660bdead6">Construct_vertex_2</a>(<span class="keyword">const</span> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Traits_adaptor</a>&amp; traits) : <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html#a4327f99990af235a15d4b36794b0acf8">m_traits</a>(traits) {}</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Gps_traits_adaptor</a>&lt;Base&gt;;</div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;       <span class="keyword">public</span>:</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        Point_2 operator()(<span class="keyword">const</span> X_monotone_curve_2&amp; cv, <span class="keywordtype">int</span> i)<span class="keyword"> const </span>{</div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            <span class="keyword">const</span> Base&amp; tr = <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html#a4327f99990af235a15d4b36794b0acf8">m_traits</a>;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;            Compare_endpoints_xy_2 cmp_endpoints = tr.compare_endpoints_xy_2_object();</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            Construct_min_vertex_2 ctr_min_v = tr.construct_min_vertex_2_object();</div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;            Construct_max_vertex_2 ctr_max_v = tr.construct_max_vertex_2_object();</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            i %= 2;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;            <span class="keywordflow">if</span>(i == 0) {</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                <span class="comment">// return the source</span></div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                <span class="keywordflow">if</span>(cmp_endpoints(cv) == SMALLER)</div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                    <span class="keywordflow">return</span> (ctr_min_v(cv));</div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                <span class="keywordflow">return</span> (ctr_max_v(cv));</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            }</div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;            <span class="comment">// else i==1 (return the target)</span></div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            <span class="keywordflow">if</span>(cmp_endpoints(cv) == SMALLER)</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                <span class="keywordflow">return</span> (ctr_max_v(cv));</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            <span class="keywordflow">return</span> (ctr_min_v(cv));</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        }</div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    };</div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    Construct_vertex_2 construct_vertex_2_object()<span class="keyword"> const </span>{</div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keywordflow">return</span> Construct_vertex_2(*<span class="keyword">this</span>);</div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    }</div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div><div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html">   95</a></span>&#160;    <span class="keyword">class </span><a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html">Orientation_2</a> {</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;       <span class="keyword">protected</span>:</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">typedef</span> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Gps_traits_adaptor&lt;Base&gt;</a> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Traits_adaptor</a>;</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div><div class="line"><a name="l00100"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a877c6376d6a59955c38d2c0e7c5c4329">  100</a></span>&#160;        <span class="keyword">const</span> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Traits_adaptor</a>&amp; <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a877c6376d6a59955c38d2c0e7c5c4329">m_traits</a>;</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div><div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a53e8983c4f59cbc3db726a1274c0b176">  105</a></span>&#160;        <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a53e8983c4f59cbc3db726a1274c0b176">Orientation_2</a>(<span class="keyword">const</span> <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Traits_adaptor</a>&amp; traits) : <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a877c6376d6a59955c38d2c0e7c5c4329">m_traits</a>(traits) {}</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">friend</span> <span class="keyword">class </span><a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor.html">Gps_traits_adaptor</a>&lt;Base&gt;;</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;       <span class="keyword">public</span>:</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> CurveInputIteraor&gt;</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        Orientation operator()(CurveInputIteraor begin, CurveInputIteraor end)<span class="keyword"> const </span>{</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;            Compare_xy_2 cmp_xy = <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a877c6376d6a59955c38d2c0e7c5c4329">m_traits</a>.compare_xy_2_object();</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            Compare_y_at_x_right_2 cmp_y_at_x_right = <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a877c6376d6a59955c38d2c0e7c5c4329">m_traits</a>.compare_y_at_x_right_2_object();</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html">Construct_vertex_2</a> ctr_v = <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a877c6376d6a59955c38d2c0e7c5c4329">m_traits</a>.construct_vertex_2_object();</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            Compare_endpoints_xy_2 cmp_endpoints_xy = <a class="code" href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a877c6376d6a59955c38d2c0e7c5c4329">m_traits</a>.compare_endpoints_xy_2_object();</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;            CurveInputIteraor into_leftmost = end;</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            CurveInputIteraor from_leftmost = end;</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;            CurveInputIteraor into = end;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            --into;</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            <span class="keywordflow">for</span>(CurveInputIteraor ci = begin; ci != end; ++ci) {</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                CurveInputIteraor from = ci;</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;                <span class="comment">/* We are only concerned with the following case:</span></div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="comment">                 *    o</span></div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="comment">                 *   / &lt;= from or into</span></div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="comment">                 *  /</span></div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="comment">                 * o</span></div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="comment">                 *  \</span></div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="comment">                 *   \ &lt;= into or from, resp.</span></div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="comment">                 *    o</span></div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="comment">                 */</span></div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                Comparison_result res_from = cmp_endpoints_xy(*from);</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                Comparison_result res_into = cmp_endpoints_xy(*into);</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                <span class="keywordflow">if</span>((SMALLER != res_from) || (LARGER != res_into)) {</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;                    into = from;</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                    <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                }</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;                <span class="keywordflow">if</span>(from_leftmost == end) {</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                    <span class="comment">// First occurance</span></div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                    from_leftmost = from;</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                    into_leftmost = into;</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                    into = from;</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                    <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                }</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;                <span class="keyword">const</span> Point_2&amp; v = ctr_v(*from, 0);</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                <span class="keyword">const</span> Point_2&amp; v_leftmost = ctr_v(*from_leftmost, 0);</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                Comparison_result res_xy = cmp_xy(v, v_leftmost);</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                <span class="keywordflow">if</span>(res_xy == LARGER) {</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                    into = from;</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                    <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;                }</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;                <span class="keywordflow">if</span>(res_xy == SMALLER) {</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;                    from_leftmost = from;</div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                    into_leftmost = into;</div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;                    into = from;</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;                    <span class="keywordflow">continue</span>;</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;                }</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;                <span class="comment">// res_xy == EQUAL</span></div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;                Comparison_result res_from_leftmost_into = cmp_y_at_x_right(*from_leftmost, *into, v_leftmost);</div><div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div><div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                CGAL_assertion_code(Comparison_result res_into_leftmost_from =</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;                                        cmp_y_at_x_right(*into_leftmost, *from, v_leftmost));</div><div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;                CGAL_assertion((res_from_leftmost_into != EQUAL) &amp;&amp; (res_from_leftmost_into != res_into_leftmost_from));</div><div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;                Comparison_result res_into_from = cmp_y_at_x_right(*into_leftmost, *from_leftmost, v_leftmost);</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;                CGAL_assertion(res_into_from != EQUAL);</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;                <span class="keywordflow">if</span>(res_into_from == res_from_leftmost_into) {</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;                    from_leftmost = from;</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;                    into_leftmost = into;</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;                }</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;                into = from;</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;            }</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;            <span class="keyword">const</span> Point_2&amp; v_leftmost = ctr_v(*from_leftmost, 0);</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;            Comparison_result res = cmp_y_at_x_right(*into_leftmost, *from_leftmost, v_leftmost);</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;            CGAL_assertion(res != EQUAL);</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;            <span class="keywordflow">return</span> (res == SMALLER) ? CLOCKWISE : COUNTERCLOCKWISE;</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        }</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    };</div><div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div><div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    Orientation_2 orientation_2_object()<span class="keyword"> const </span>{</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        <span class="keywordflow">return</span> Orientation_2(*<span class="keyword">this</span>);</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;    }</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;};</div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;}  <span class="comment">// namespace CGAL</span></div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="preprocessor">#include &lt;CGAL/enable_warnings.h&gt;</span></div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="namespace_c_g_a_l_html"><div class="ttname"><a href="namespace_c_g_a_l.html">CGAL</a></div><div class="ttdoc">CGAL Serialization functions.</div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:32</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_html_a85a737a0ea42b18c1e7436000922d394"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor.html#a85a737a0ea42b18c1e7436000922d394">CGAL::Gps_traits_adaptor::Gps_traits_adaptor</a></div><div class="ttdeci">Gps_traits_adaptor()</div><div class="ttdoc">Default constructor.</div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:49</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_html"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor.html">CGAL::Gps_traits_adaptor</a></div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:35</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2_html_a877c6376d6a59955c38d2c0e7c5c4329"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a877c6376d6a59955c38d2c0e7c5c4329">CGAL::Gps_traits_adaptor::Orientation_2::m_traits</a></div><div class="ttdeci">const Traits_adaptor &amp; m_traits</div><div class="ttdoc">The traits (in case it has state)</div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:100</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2_html"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html">CGAL::Gps_traits_adaptor::Construct_vertex_2</a></div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:54</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_html_a545dbb2f232dcc9c77f0d7a44545fc5e"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor.html#a545dbb2f232dcc9c77f0d7a44545fc5e">CGAL::Gps_traits_adaptor::Gps_traits_adaptor</a></div><div class="ttdeci">Gps_traits_adaptor(const Base &amp;traits)</div><div class="ttdoc">Constructor from a base-traits class.</div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:52</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2_html_a53e8983c4f59cbc3db726a1274c0b176"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html#a53e8983c4f59cbc3db726a1274c0b176">CGAL::Gps_traits_adaptor::Orientation_2::Orientation_2</a></div><div class="ttdeci">Orientation_2(const Traits_adaptor &amp;traits)</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:105</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2_html"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_orientation__2.html">CGAL::Gps_traits_adaptor::Orientation_2</a></div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:95</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2_html_ade4df041a1e859d7c17c0ba660bdead6"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html#ade4df041a1e859d7c17c0ba660bdead6">CGAL::Gps_traits_adaptor::Construct_vertex_2::Construct_vertex_2</a></div><div class="ttdeci">Construct_vertex_2(const Traits_adaptor &amp;traits)</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:64</div></div>
<div class="ttc" id="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2_html_a4327f99990af235a15d4b36794b0acf8"><div class="ttname"><a href="class_c_g_a_l_1_1_gps__traits__adaptor_1_1_construct__vertex__2.html#a4327f99990af235a15d4b36794b0acf8">CGAL::Gps_traits_adaptor::Construct_vertex_2::m_traits</a></div><div class="ttdeci">const Traits_adaptor &amp; m_traits</div><div class="ttdoc">The traits (in case it has state)</div><div class="ttdef"><b>Definition:</b> Gps_traits_adaptor.h:59</div></div>
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